What is the Greatest Common Factor of 18204 and 18209?

Greatest common factor (GCF) of 18204 and 18209 is 1.

GCF(18204,18209) = 1

We will now calculate the prime factors of 18204 and 18209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18204 and 18209.

How to find the GCF of 18204 and 18209?

We will first find the prime factorization of 18204 and 18209. After we will calculate the factors of 18204 and 18209 and find the biggest common factor number .

Step-1: Prime Factorization of 18204

Prime factors of 18204 are 2, 3, 37, 41. Prime factorization of 18204 in exponential form is:

18204 = 2² × 3¹ × 37¹ × 41¹

Step-2: Prime Factorization of 18209

Prime factors of 18209 are 131, 139. Prime factorization of 18209 in exponential form is:

18209 = 131¹ × 139¹

Step-3: Factors of 18204

List of positive integer factors of 18204 that divides 18204 without a remainder.

1, 2, 3, 4, 6, 12, 37, 41, 74, 82, 111, 123, 148, 164, 222, 246, 444, 492, 1517, 3034, 4551, 6068, 9102

Step-4: Factors of 18209

List of positive integer factors of 18209 that divides 18204 without a remainder.

1, 131, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18204 and 18209. The biggest common factor number is the GCF number.
So the greatest common factor 18204 and 18209 is 1.

Also check out the Least Common Multiple of 18204 and 18209